Optimal Two-level Choice Designs for Estimating Specified Interaction Effects
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Authors
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Soumen Manna
Goa Institute of Management, Goa
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Ashish Das
Indian Institute of Technology Bombay, Mumbai
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Feng-Shun Chai
Academia Sinica, Taipei, Taiwan
Keywords:
Optimal choice designs, Main effects, Two-factor interactions, Three-factor interactions.Abstract
This paper investigates optimal choice designs for models that include main effects and specified higher-order interaction effects. Existing optimal
designs primarily focus on estimating all the main effects or all the two-factor interaction effects along with the main effects. However, in most
practical choice experiments, only a limited number of two-factor and three-factor interactions are of substantive interest rather than the full set of
possible interactions. Motivated by this practical consideration, we develop universally optimal choice designs that allow efficient estimation of main
effects along with specified two- and three-factor interaction effects.
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